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Finding the Fourth Proportional to 462,679.85, 638,493.81 and 258,728.43

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Solution

The fourth proportional to 462,679.85, 638,493.81 and 258,728.43 is: 357,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,679.85 : 638,493.81 = 258,728.43 : x
  2. Step 2: Convert to fraction form
    462,679.85/638,493.81 = 258,728.43/x
  3. Step 3: Cross multiply
    462,679.85x = 638,493.81 × 258,728.43
  4. Step 4: Simplify right side
    462,679.85x = 165,196,501,041.63
  5. Step 5: Solve for x
    x = 165,196,501,041.63/462,679.85
  6. Step 6: Final answer
    x = 357,042.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.